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Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations

Vernadsky National Library of Ukraine

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Title Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations
 
Creator Nakpim, W.
Meleshko, S.V.
 
Description The linearization problem of a second-order ordinary differential equation by the generalized Sundman transformation was considered earlier by Duarte, Moreira and Santos using the Laguerre form. The results obtained in the present paper demonstrate that their solution of the linearization problem for a second-order ordinary differential equation via the generalized Sundman transformation is not complete. We also give examples which show that the Laguerre form is not sufficient for the linearization problem via the generalized Sundman transformation.
 
Date 2019-02-09T09:13:55Z
2019-02-09T09:13:55Z
2010
 
Type Article
 
Identifier Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations / W. Nakpim, S.V. Meleshko // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 9 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 34A05; 34A25
DOI:10.3842/SIGMA.2010.051
http://dspace.nbuv.gov.ua/handle/123456789/146348
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України